Slope/Rate of Change: Tables, Graphs & 2-Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope, representing how much y changes for a unit change in x.

Tags

CCSS.HSF-LE.A.1B

Front

If the slope of a line is 1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit (rise).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (-5, 3) and (3, 5)?

Back

The slope is 1/4, calculated as (5 - 3) / (3 - (-5)).

Tags

CCSS.8.EE.B.5